Abstract: A method of characterizing a surface topography includes determining scale-dependent parameters. Each of the scale-dependent parameters represents a statistical characterization of a distribution of at least one of a first-order or higher-order derivative of surface height or h determined from one or more measurements of the surface at each of multiple distance scales. For at least one of the one or more measurements, the first-order or higher-order derivative of surface height is determined at the multiple distance scales in real space defined via a scaling factor ? which is greater than or equal to 1 and which is multiplied by the smallest possible distance scale or resolution provided by the at least one of the one or more measurements.

Abstract: A method of forming a fiber includes providing a sheet of a single layer of graphene or an oxidative analogue of graphene and applying force to the sheet to induce bending in the sheet and increase an aspect ratio thereof, thereby forming the fiber.